Search a number
-
+
100102221020202 = 23127651672015863
BaseRepresentation
bin10110110000101011011101…
…010100110011110000101010
3111010102200022220012101110220
4112300223131110303300222
5101110033322040121302
6552522154145550510
730041101232365302
oct2660533524636052
9433380286171426
10100102221020202
1129994128119665
12b288593345436
1343b17a2b3690b
141aa0d8ac22602
15b88d4d9c94bc
hex5b0add533c2a

100102221020202 has 32 divisors (see below), whose sum is σ = 201784051433472. Its totient is φ = 33104147099184.

The previous prime is 100102221020141. The next prime is 100102221020233. The reversal of 100102221020202 is 202020122201001.

100102221020202 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001022210202022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48649323 + ... + 50665185.

It is an arithmetic number, because the mean of its divisors is an integer number (6305751607296).

Almost surely, 2100102221020202 is an apocalyptic number.

100102221020202 is an abundant number, since it is smaller than the sum of its proper divisors (101681830413270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100102221020202 is a wasteful number, since it uses less digits than its factorization.

100102221020202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081162.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100102221020202 its reverse (202020122201001), we get a palindrome (302122343221203).

The spelling of 100102221020202 in words is "one hundred trillion, one hundred two billion, two hundred twenty-one million, twenty thousand, two hundred two".

Divisors: 1 2 3 6 127 254 381 762 65167 130334 195501 391002 2015863 4031726 6047589 8276209 12095178 16552418 24828627 49657254 256014601 512029202 768043803 1536087606 131367744121 262735488242 394103232363 788206464726 16683703503367 33367407006734 50051110510101 100102221020202